Premium
A coupled Maxwell integrodifferential model for magnetization processes
Author(s) -
Nicaise Serge,
Tröltzsch F.
Publication year - 2014
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201200206
Subject(s) - uniqueness , maxwell's equations , magnetization , degenerate energy levels , mathematics , electromagnetic induction , domain (mathematical analysis) , mathematical analysis , electromagnetic coil , magnetic field , physics , quantum mechanics
A mathematical model for instationary magnetization processes is considered, where the underlying spatial domain includes electrically conducting and nonconducting regions. The model accounts for the magnetic induction law that couples the given electrical voltage with the induced electrical current in the induction coil. By a theorem of Showalter on degenerate parabolic equations, theorems on existence, uniqueness, and regularity of the solution to the associated Maxwell integrodifferential system are proved.